Finite Group Databasebeta

← Group #14429275

Character table — Group #14429275

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222244444444444444448888888888888888888812121212161616161616161616161616161620202020242424242424242424243030303030303030404040404040484848488080120120
order12223445566610101010101088121215152020202030303030303044242440404040606060601201201201201201201201202488121220202020606060606060606024884410102020404040402244888844612242420202020121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ81111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1
χ9111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-111-1-11111-1-1-1-111-1-11-11111-1-1-1-11111-1-1-1-11-111-1-1-1-111-11-11
χ10111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-111-1-11111-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-11111-11-1-111-1-1111-11-1
χ11111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-111-1-1-11-1-1-1-11111-1-1-1-111111-111-1-111-1-1-111-1
χ12111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-1-1-111-11-1-1-1-111111111-1-1-1-1-11-1-11111-1-11-1-11
χ13111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11-1-111-1-1-1-1111111-1-1-111111-1-1-1-11111-1-1-1-1-1111-1-111-1-11-11-1
χ14111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11-1-111-1-1-1-11111-1-111-111111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-11-11
χ15111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1-1-1111111-1-11-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-1111-1-11
χ16111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1-1-11111-1-1111-1-1-1-1-111111111-1-1-1-11-1-1-111-1-111-111-1
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000022−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000−1−52−1+52−1−52−1+520000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-21+521−521+521−521+521+521−521−52000000000000001+521−521+521−520000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222-2-21+521−521+521−521+521+521−521−521+521+521−521−520000-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000000000001+521−521+521−520000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-21+521−521+521−521+521+521−521−521+521+521−521−520000221+521−521+521−521+521+521−521−5200000000000000−1−52−1+52−1−52−1+520000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-22-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200002-2−1−52−1+52−1−52−1+521+521+521−521−52000000000000001+521−52−1−52−1+520000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2222-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000-221+521−521+521−52−1−52−1−52−1+52−1+5200000000000000−1−52−1+521+521−520000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-2-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000-22−1−52−1+52−1−52−1+521+521+521−521−5200000000000000−1−52−1+521+521−520000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-222-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200002-21+521−521+521−52−1−52−1−52−1+52−1+52000000000000001+521−52−1−52−1+520000
χ252222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000−1+52−1−52−1+52−1−520000
χ262222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-21−521+521−521+521−521−521+521+52000000000000001−521+521−521+520000
χ272222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222-2-21−521+521−521+521−521−521+521+521−521−521+521+520000-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000000000001−521+521−521+520000
χ282222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+520000221−521+521−521+521−521−521+521+5200000000000000−1+52−1−52−1+52−1−520000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2-22-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200002-2−1+52−1−52−1+52−1−521−521−521+521+52000000000000001−521+52−1+52−1−520000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2222-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000-221−521+521−521+52−1+52−1+52−1−52−1−5200000000000000−1+52−1−521−521+520000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2-2-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000-22−1+52−1−52−1+52−1−521−521−521+521+5200000000000000−1+52−1−521−521+520000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-222-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200002-21−521+521−521+52−1+52−1+52−1−52−1−52000000000000001−521+52−1+52−1−520000
χ3322222-2-22222222222200-2-222-2-2-2-222222200000000-2-2-2-2000000002-200000000000000002-2000022-2-20000-2-2220000002-20000000000
χ3422222-2-22222222222200-2-222-2-2-2-222222200000000-2-2-2-2000000002-20000000000000000-22000022-2-2000022-2-2000000-220000000000
χ3522222-2-22222222222200-2-222-2-2-2-222222200000000-2-2-2-200000000-2200000000000000002-20000-2-222000022-2-20000002-20000000000
χ3622222-2-22222222222200-2-222-2-2-2-222222200000000-2-2-2-200000000-220000000000000000-220000-2-2220000-2-222000000-220000000000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-1-12222-1-1-1-1-1-1-1-1222200000000000000000022-1-1-1-10000-1-100
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000000000000000000-2-2111100001100
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000011-2-2-2-2111111112222000000000000000000-2-2-1-1-1-100001100
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000011-2-2-2-211111111-2-2-2-20000000000000000002211110000-1-100
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-211-2-2-2-2-1-1-1-1111111110000-1122-2-2-1-1-1-1111122-2-20000000000000000002-2-1-11100001-100
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-211-2-2-2-2-1-1-1-1111111110000-1122-2-2-1-1-1-11111-2-222000000000000000000-2211-1-10000-1100
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2211-2-2-2-2-1-1-1-11111111100001-1-2-2221111-1-1-1-122-2-2000000000000000000-22-1-1110000-1100
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2211-2-2-2-2-1-1-1-11111111100001-1-2-2221111-1-1-1-1-2-2220000000000000000002-211-1-100001-100
χ452-22-222-222-2-22-2-2-2-2222i−2i2-22222-2-2-2-2-2-222002i−2i2i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000002-22-22i2i−2i−2i00000000000000
χ462-22-222-222-2-22-2-2-2-2222i−2i2-22222-2-2-2-2-2-222002i−2i2i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000-22-22−2i−2i2i2i00000000000000
χ472-22-222-222-2-22-2-2-2-222−2i2i2-22222-2-2-2-2-2-22200−2i2i−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000002-22-2−2i−2i2i2i00000000000000
χ482-22-222-222-2-22-2-2-2-222−2i2i2-22222-2-2-2-2-2-22200−2i2i−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000-22-222i2i−2i−2i00000000000000
χ492-22-22-2222-2-22-2-2-2-22200-2222-2-222-2-2-2-22200000000-2-22200000000002-200000000000000002-20000002-22-22-2-22000000002-200000000
χ502-22-22-2222-2-22-2-2-2-22200-2222-2-222-2-2-2-22200000000-2-22200000000002-20000000000000000-220000002-22-2-222-200000000-2200000000
χ512-22-22-2222-2-22-2-2-2-22200-2222-2-222-2-2-2-22200000000-2-2220000000000-2200000000000000002-2000000-22-22-222-2000000002-200000000
χ522-22-22-2222-2-22-2-2-2-22200-2222-2-222-2-2-2-22200000000-2-2220000000000-220000000000000000-22000000-22-222-2-2200000000-2200000000
χ5344444-4-4−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+500-4-4−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+5000000001+51−51+51−5000000004-40000000000000000000000−1−5−1+51+51−500000000000000000000000000
χ5444444-4-4−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+500-4-4−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+5000000001+51−51+51−500000000-4400000000000000000000001+51−5−1−5−1+500000000000000000000000000
χ5544444-4-4−1+5−1−5444−1+5−1−5−1+5−1−5−1+5−1−500-4-4−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−5000000001−51+51−51+5000000004-40000000000000000000000−1+5−1−51−51+500000000000000000000000000
χ5644444-4-4−1+5−1−5444−1+5−1−5−1+5−1−5−1+5−1−500-4-4−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−5000000001−51+51−51+500000000-4400000000000000000000001−51+5−1+5−1−500000000000000000000000000
χ574444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+544-2-21+521−52−1−5−1+5−1−5−1+51+521−521+521−521+521−5244-2-2−1−5−1−5−1+5−1+51+521−521+521−521+521+521+521+521−521−521−521−520000-2-2−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−52000000000000000000000000000000000000
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χ1058-8-88-400−2−25−2+254-442+252−25−2−25−2+252+252−2500001+51−500001+51−5−1−5−1+5−1−5−1+5000000000000−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119000000000000000000000000000000000000000000000000000000
χ1068-8-88-400−2−25−2+254-442+252−25−2−25−2+252+252−2500001+51−500001+51−5−1−5−1+5−1−5−1+5000000000000ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119000000000000000000000000000000000000000000000000000000
χ1078-8-88-400−2+25−2−254-442−252+25−2+25−2−252−252+2500001−51+500001−51+5−1+5−1−5−1+5−1−5000000000000−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103000000000000000000000000000000000000000000000000000000
χ1088-8-88-400−2+25−2−254-442−252+25−2+25−2−252−252+2500001−51+500001−51+5−1+5−1−5−1+5−1−5000000000000ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.